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Simplifying 4(0.5x + -0.25) = 6 + x Reorder the terms: 4(-0.25 + 0.5x) = 6 + x (-0.25 * 4 + 0.5x * 4) = 6 + x (-1 + 2x) = 6 + x Solving -1 + 2x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 2x + -1x = 6 + x + -1x Combine like terms: 2x + -1x = 1x -1 + 1x = 6 + x + -1x Combine like terms: x + -1x = 0 -1 + 1x = 6 + 0 -1 + 1x = 6 Add '1' to each side of the equation. -1 + 1 + 1x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 6 + 1 1x = 6 + 1 Combine like terms: 6 + 1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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